Topological entropy bounds for switched linear systems with lie structure

Schmidt, A. James

Permalink

https://hdl.handle.net/2142/95430 Copy

Description

Title

Topological entropy bounds for switched linear systems with lie structure

Author(s)

Schmidt, A. James

Issue Date

2016-10-14

Director of Research (if dissertation) or Advisor (if thesis)

Belabbas, Mohamed A.

Committee Member(s)

Liberzon, Daniel

Department of Study

Electrical & Computer Eng

Discipline

Electrical & Computer Engr

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(s)

• Switched Systems
• Topological Entropy

Abstract

In this thesis, we provide an initial investigation into bounds for topological entropy of switched linear systems. Entropy measures, roughly, the information needed to describe the behavior of a system with finite precision on finite time horizons, in the limit. After working out entropy computations in detail for the scalar switched case, we review the linear time-invariant nonscalar case, and extend to the nonscalar switched case. We assume some commutation relations among the matrices of the switched system, namely solvability, define an “upper average time of activation” quantity and use it to provide an upper bound on the entropy of the switched system in terms of the eigenvalues of each subsystem.

Graduation Semester

2016-12

Type of Resource

text

Permalink

http://hdl.handle.net/2142/95430

Copyright and License Information

2016 by A. James Schmidt

Owning Collections